A sparse grid wavelet Galerkin method for 3-D static piezoelectric equations
DOI10.4208/cicp.oa-2023-0193MaRDI QIDQ6620369
Publication date: 16 October 2024
Published in: Communications in Computational Physics (Search for Journal in Brave)
Numerical computation using splines (65D07) Smoothness and regularity of solutions to PDEs (35B65) Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Technical applications of optics and electromagnetic theory (78A55) Electromagnetic theory (general) (78A25) Numerical approximation of high-dimensional functions; sparse grids (65D40)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the construction of \(L\)-fold sparse tensor product spaces
- A 2D time-domain collocation-Galerkin BEM for dynamic crack analysis in piezoelectric solids
- Sparse adaptive finite elements for radiative transfer
- A general framework of compactly supported splines and wavelets
- Adaptive sparse grid multilevel methods for elliptic PDEs based on finite differences
- Numerical integration using sparse grids
- The wavelet element method. I: Construction and analysis
- Three-dimensional boundary element analysis for anisotropic elastic solids and its extension to piezoelectric and magnetoelectroelastic solids
- The analog equation integral formulation for plane piezoelectric media
- Radial basis reproducing kernel particle method for piezoelectric materials
- Foundations of spline theory: B-splines, spline approximation, and hierarchical refinement
- Axisymmetric solutions for the multi-layered transversely isotropic piezoelectric medium
- The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM
- BEM analysis of electrically limited permeable cracks considering Coulomb tractions in piezoelectric materials
- A stochastic boundary element method for piezoelectric problems
- A wavelet Galerkin method for the Stokes equations
- Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs
- An advanced boundary integral equation method for wave propagation analysis in a layered piezoelectric phononic crystal with a crack or an electrode
- An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form
- Short communication: the generalized finite difference method for electroelastic analysis of 2D piezoelectric structures
- Galerkin method with new quadratic spline wavelets for integral and integro-differential equations
- Sparse grid discontinuous Galerkin methods for high-dimensional elliptic equations
- Hamiltonian partial mixed finite element-state space symplectic semi-analytical approach for the piezoelectric smart composites and FGM analysis
- New linear and quadratic prismatic piezoelectric solid-shell finite elements
- An efficient finite element with layerwise mechanics for smart piezoelectric composite and sandwich shallow shells
- A meshless local natural neighbour interpolation method for analysis of two-dimensional piezoelectric structures
- Wavelet methods in numerical analysis
- A Sparse Grid Discontinuous Galerkin Method for High-Dimensional Transport Equations and Its Application to Kinetic Simulations
- Wavelets with Short Support
- Sparse finite element approximation of high-dimensional transport-dominated diffusion problems
- On Compactly Supported Spline Wavelets and a Duality Principle
- Wavelets
- A numerical method for solving high-dimensional backward stochastic difference equations using sparse grids
- A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation
- The Mathematical Theory of Finite Element Methods
This page was built for publication: A sparse grid wavelet Galerkin method for 3-D static piezoelectric equations
